Puiseux series dynamics of quadratic rational maps

DOI10.1007/s11856-014-1047-6zbMath1350.37082arXiv1106.0059OpenAlexW2067827477MaRDI QIDQ466096

Jan Kiwi

Publication date: 24 October 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0059

zbMATH Keywords

polynomial dynamicsJulia setFatou componentPuiseux seriesalpha-laminationsBerkovich linequadratic maps

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20) Dynamical systems on Berkovich spaces (37P50) Non-Archimedean Fatou and Julia sets (37P40)

Related Items

Non-Archimedean indifferent components of rational functions that are not disks ⋮ Degenerations of complex dynamical systems. II: Analytic and algebraic stability ⋮ Bounded hyperbolic components of bicritical rational maps ⋮ Variation of canonical height for Fatou points on \(\mathbb{P}^1\) ⋮ New families satisfying the dynamical uniform boundedness principle over function fields ⋮ Berkovich dynamics of Newton maps ⋮ Boundedness of hyperbolic components of Newton maps ⋮ Rescaling limits in non-Archimedean dynamics ⋮ Rationality of dynamical canonical height ⋮ Rescaling limits of complex rational maps

Cites Work

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